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Finding the Fourth Proportional to 819.30, 1,227.41 and 634.52

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Solution

The fourth proportional to 819.30, 1,227.41 and 634.52 is: 950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.30 : 1,227.41 = 634.52 : x
  2. Step 2: Convert to fraction form
    819.30/1,227.41 = 634.52/x
  3. Step 3: Cross multiply
    819.30x = 1,227.41 × 634.52
  4. Step 4: Simplify right side
    819.30x = 778,806.88
  5. Step 5: Solve for x
    x = 778,806.88/819.30
  6. Step 6: Final answer
    x = 950.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.